Rowan university calculus techniques and applications



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ROWAN UNIVERSITY

CALCULUS TECHNIQUES AND APPLICATIONS

SYLLABUS

Course: MATH03 125–4 Days: Monday and Wednesday 8:00am – 9:15am Room: Robinson Hall 324

Instructor: Anthony J. Marchetta Email Address: marchetta@rowan.edu

COURSE DESCRIPTION

This course will introduce students to the techniques of differential and integral calculus. Emphasis is placed on practical applications of limits, derivatives and integrals with business applications highlighted. This course also provides experience with information about the significance and specific uses of the calculus in today’s world. Prerequisites: Completion of MATH01 123 or a grade of 60 or better on the CML exam.



TEXTBOOK AND MATERIALS





  • Applied Calculus for the Managerial, Life and Social Sciences, by S. J. Tan, Cengage, 8/E.

  • According to the Rowan University Department of Mathematics Calculator Policy, which can be found at http://www.rowan.edu/math/, it is strongly recommended that students enrolled in this course be equipped with a TI-83 or TI-84 graphing calculator.

  • A 3 – or 5 – subject spiral bound notebook, preferably one with a folder pocket for loose materials.

  • Writing utensils (mechanical pencils and block erasers recommended).



COURSE OBJECTIVES





  1. To develop the concepts of the limit, derivative and antiderivative of a function, and also of the definite integral.

  2. To consider applications, and particularly business applications of the derivative and definite integral.

  3. To provide information on the significance of Calculus in today’s world.


ATTENDANCE:
According to Rowan University’s attendance policy, which can be found in the student handbook, a maximum of three (3) absences throughout the semester will be tolerated before any student is denied credit for the course.
Attendance is taken at the beginning of class and tardies are recorded at the end of class. Punctuality is to be expected. Students who arrive late (after attendance is taken) must approach the instructor at the end of lecture in order to change his or her recorded absence into a tardy. Students who are late three (3) times will receive one (1) absence for the course.
Students are responsible for all missed work, and are expected to regularly reference this syllabus to determine what material was missed in the course should a student be unable to attend.

COURSE CONTENT





  1. Functions

1.1 Functional notation

1.2 Straight lines and slopes

1.3 Limits


  1. Differentiation

2.1 Definition of the derivative

2.2 Rules for differentiation

2.3 Special methods of differentiation

2.4 Derivatives of special functions

2.5 Higher derivatives


  1. The interpretation of the derivative as a rate of change, applications of time rates, related rates and percentage changes




  1. Applications involving maxima and minima




  1. Integration

5.1 Anti-differentiation

5.2 The definite integral

5.3 Area under the curve

5.4 Volumes



5.5 Applications involving integration


  1. Additional applications to various disciplines and fields of study


CLASSROOM ETIQUETTE:


  • You are expected to act in a responsible manner, which conforms to generally accepted standards of adult behavior.







  • Conversations in the classroom are very annoying. They compete with the instructor and can easily interfere with the learning activities of your classmates.




  • According to college policy, eating, smoking, and drinking are not allowed in the classroom.




  • Electronic communication devices MUST be turned off while classes are in session.




  • Additional expectations regarding conduct and behavior as listed in the student handbook will be enforced.




  • Cell phones MUST be turned off while classes are in session. Turn your cell phone on vibrate or silent if you are expecting a call.


EXAMS:
There will be no unannounced exams. You will be notified of the exact date of an exam one or two class periods before the test is to be given. There will be five exams and one cumulative final exam. These exams will be based on class lectures, classroom activities and homework assignments. No additional work may be submitted for extra credit and no re-tests are permitted. Students are permitted to bring a 3x5 index card with formulae and theorems written on one or both sides to aid in their success on exams.
Students have a responsibility to be in class; this means be on time for class and attend each class in its entirety. We understand that on RARE occasions, situations arise which make it impossible for a student to attend. Therefore, the following policy will be in effect when a test is missed:


  • A student may make up ONE AND ONLY ONE missed exam during the semester, and a doctor’s note or written documentation explaining the reason for your absence before a make-up test will be permitted. Students that miss an exam without a documented acceptable excuse will NOT be permitted to make-up an exam.

  • Make-up exams must be completed within one calendar week of the test missed.

  • No make-up exam may be taken after the one-week deadline.

  • Make-up exams may be different in form and questions from the original test and may turn out to be harder than the original test.

  • Appointments for make-ups are the responsibility of the student and are scheduled at the convenience of the instructor.


Exam 1 Chapter 1 &2

Exam 2 Chapter 3

Exam 3 Chapter 4

Exam 4 Chapter 5

Exam 5 Chapter 6

CUMULATIVE FINAL EXAM
HOMEWORK
There will be a homework assignment due at the beginning of every class. On the day of the exam, all notebooks will be submitted for grading of homework assignments, and the instructor will award a grade of 0, 1 or 2 for each assignment, according to the following rubric:
0 – Less than half of the assignment is complete or the assignment was never attempted.
1 – The assignment is not fully complete; however more than half the assignment is complete.
2 – Every question in the assignment is complete (including the last one!)
Students must make the location of all assignments clear in the notebook either with paper clips, sticky tabs, or some other indicator. The instructor will return students’ notebooks, along with graded exams, at the beginning of the next class meeting.
Please refer to this syllabus regularly for the details of each assignment.

FINAL EXAM:
The Final Exam will be cumulative, and will be held on Tuesday, May 2, 2017 at 8:00am, location to be announced. Students are permitted to bring a 3x5 index card with formulae and theorems written on one or both sides only to aid in their success on the exam.
FINAL GRADE:
Grades will be calculated according to this schedule:
Exam Average 60%

Homework 20%

Final Exam 20%
Please reference the following for letter grade conversions:
60 – 63  D – 63 – 67  D 67 – 70  D+

70 – 73  C – 73 – 77  C 77 – 80  C+

80 – 83  B – 83 – 87  B 87 – 90  B+

90 – 93  A– 93 – 97  A 97 – 100  A+


DROPS AND WITHDRAWLS:
Regarding withdrawals: If you stop attending class and do not officially drop or withdraw (depending on the time when you stop attending), you will receive an “F”. Not attending class does not constitute withdrawal from class. Any student who wishes to withdraw from the course must complete the appropriate form in the Registrar’s Office.
RESOURCES:


  • The Mathematics Learning Center is available on a walk-in basis for all students at Rowan University seeking tutoring. The Center is located in Robinson Hall, room 228B, and is open Monday through Friday from 9:30am to 6:00pm.

  • Prof. Marchetta is available after class from 9:15am until 10:00am by appointment only. To schedule an appointment, please send an email to marchetta@rowan.edu.




Assignment #

Section

Page

Problems

Assignment #

Section

Page

Problems

1

1.3

30

1,5,9,…,33

17

4.2

282

1,5,9,…,59

2

1.4

42

1,5,9,…,69

18

4.4

313

1,5,9,…,49,51,53

3

2.1

59

1,5,9,…,57

19

4.5

327

1,5,9,…,17

4

2.2

74

1,5,9,…,49,75,77

20

5.1

342

1,5,9,…,45

5

2.3

88

1,5,9,…,57,61

21

5.2

351

1,5,9,…,49

6

2.4

115

1,5,9,…,77

22

5.3

365

1,5,9,…,33

7

2.5

130

1,5,9,…,57

23

5.4

376

1,5,9,…,53

8

2.6

149

9,13,17,…,33,35,37,39,55

24

5.5

387

1,5,9,…,53,59,61

9

3.1

169

1,5,9,…,45,55,63

25

5.6

399

1,3,5,…,21

10

3.2

181

1,5,9,…,49,51,55

26

6.1

418

1-25odd

11

3.3

194

1,5,9,…,61,85,87

27

6.2

430

1-9odd

12

3.4

209

1,3,5,…,21

28

6.3

442

1,3,5,…,15

13

3.5

218

1,5,9,…,25,31,35,37

29

6.4

453

1,5,9,…,49

14

3.6

231

1,5,9,…,37,41,47,49,55,57

30

6.5

463

1,5,9,…,45

15

3.7

240

1,5,9,…,29,37,39,41

31

6.6

475

1,5,9,…,41

16

4.1

264

1,5,9,…,73















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